LCM of 926, 738, 316, 494, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 738, 316, 494, 507 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 926, 738, 316, 494, 507. So, keep reading to learn more.
Given numbers are 926,738,316,494,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,738,316,494,507 is 173354350572.
Find LCM of 926,738,316,494,507 with Prime Factorization
| 2 | 926, 738, 316, 494, 507 |
| 3 | 463, 369, 158, 247, 507 |
| 13 | 463, 123, 158, 247, 169 |
| 463, 123, 158, 19, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 463 x 123 x 158 x 19 x 13 = 173354350572
Therefore, the lowest common multiple of 926,738,316,494,507 is 173354350572.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
926 x 738 x 316 x 494 x 507 = 54086557378464
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
926 : 1, 2, 463, 926
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
316 : 1, 2, 4, 79, 158, 316
494 : 1, 2, 13, 19, 26, 38, 247, 494
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,738,316,494,507, is 1.
Now, the common factors can be found like this.
926:2x 463
738:2x 3x 3x 41
316:2x 2x 79
494:2x 13x 19
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 13 = 312
Therefore, the value for common factors is 312.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 54086557378464/(1x312)
LCM = 54086557378464/312
LCM = 173354350572
Thus, we can understand that the LCM of 926,738,316,494,507 is 173354350572.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 926, 738, 316, 494, 507
1. What is the LCM of 926, 738, 316, 494, 507?
Answer: LCM of 926, 738, 316, 494, 507 is 173354350572.
2. How to calculate the LCM of 926, 738, 316, 494, 507?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 926, 738, 316, 494, 507.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.